Finding the Third Proportional to 457 and 1,126
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Solution
The third proportional to 457 and 1,126 is: 2,774.35
Step by Step Solution
- Step 1: Write the proportion equation
457 : 1,126 = 1,126 : x - Step 2: Convert to fraction form
457/1,126 = 1,126/x - Step 3: Cross multiply
457x = 1,126 × 1,126 - Step 4: Simplify right side
457x = 1,267,876 - Step 5: Solve for x
x = 1,267,876/457 - Step 6: Final answer
x = 2,774.35
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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.